22005115212240 has 240 divisors, whose sum is σ = 76724420031168. Its totient is φ = 5861380589568.

The previous prime is 22005115212217. The next prime is 22005115212251. The reversal of 22005115212240 is 4221251150022.

22005115212240 is a `hidden beast` number, since 2 + 20 + 0 + 511 + 5 + 2 + 122 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16524552 + ... + 17806488.

Almost surely, 2^{22005115212240} is an apocalyptic number.

22005115212240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22005115212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38362210015584).

22005115212240 is an abundant number, since it is smaller than the sum of its proper divisors (54719304818928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22005115212240 is a wasteful number, since it uses less digits than its factorization.

22005115212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282848 (or 1282830 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 22005115212240 its reverse (4221251150022), we get a palindrome (26226366362262).

The spelling of 22005115212240 in words is "twenty-two trillion, five billion, one hundred fifteen million, two hundred twelve thousand, two hundred forty".